Question

Find the slope and reduce of p=(3/4,1 1/4) q=(-1/2,-1)

Answer 1

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) p&({{ \frac{3}{4}}}\quad ,&{{ \frac{1}{4}}})\quad % (c,d) q&({{ -\frac{1}{2}}}\quad ,&{{ -1}}) \end{array}$

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-\frac{1}{4}}{-\frac{1}{2}-\frac{3}{4}}\quad \cfrac{\leftarrow LCD=4}{\leftarrow LCD=4} \\\\\\ \cfrac{\frac{-4-1}{4}}{\frac{-2\cdot 1-3}{4}}\implies \cfrac{\frac{-5}{4}}{\frac{-5}{4}}\implies \cfrac{-5}{4}\cdot \cfrac{4}{-5}\implies 1$